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114131002009 is a prime number
BaseRepresentation
bin110101001001010111…
…1001110001010011001
3101220120222121121210111
41222102233032022121
53332220014031014
6124233035244321
711150162340043
oct1522257161231
9356528547714
10114131002009
1144447a80062
121a1522a96a1
13a9bb2c81ab
145749ab8a93
152e7eae82c4
hex1a92bce299

114131002009 has 2 divisors, whose sum is σ = 114131002010. Its totient is φ = 114131002008.

The previous prime is 114131002003. The next prime is 114131002019. The reversal of 114131002009 is 900200131411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73032360025 + 41098641984 = 270245^2 + 202728^2 .

It is a cyclic number.

It is not a de Polignac number, because 114131002009 - 223 = 114122613401 is a prime.

It is not a weakly prime, because it can be changed into another prime (114131002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57065501004 + 57065501005.

It is an arithmetic number, because the mean of its divisors is an integer number (57065501005).

Almost surely, 2114131002009 is an apocalyptic number.

It is an amenable number.

114131002009 is a deficient number, since it is larger than the sum of its proper divisors (1).

114131002009 is an equidigital number, since it uses as much as digits as its factorization.

114131002009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 114131002009 in words is "one hundred fourteen billion, one hundred thirty-one million, two thousand, nine".